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4 years ago

What is the square root of 4,946

Mathematics

2 answers:

blsea [12.9K]4 years ago

5 0

The square root of the number 4946 is 70.3278038901

blondinia [14]4 years ago

3 0

It is 70.32780389... It will go on forever this us what I got on my calculator.

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4m exponent 2 + 5m help please

Gnesinka [82]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

4m exponent 2 + 5m.

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

By.. 4m exponent 2, I'm going to assume that you meant this ⇨ 4m². If so, then here's how you should solve your question. I've included 2 ways of solving the question. You can choose your method. I'd suggest the 2nd one since it's a whole lot easier than the first method.

<h3>Method 1 :-</h3>

$\tt \: 4m ^ { 2 } +5m \\$

Quadratic polynomial can be factored using the transformation $\tt\: ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right)$ , where $\tt\:x_{1} and x_{2}$ are the solutions of the quadratic equation ax²+bx+c=0.

$\tt \: 4m^{2}+5m=0$

All equations of the form ax²+bx+c=0 can be solved using the quadratic formula: $\tt\frac{-b±\sqrt{b^{2}-4ac}}{2a}\\$ . The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

$\tt \: m=\frac{-5±\sqrt{5^{2}}}{2\times 4} \\$

Take the square root of 5².

$\tt \: m=\frac{-5±5}{2\times 4} \\$

Multiply 2 times 4.

$\tt \: m=\frac{-5±5}{8} \\$

Now solve the equation m= $\tt\frac{-5±5}{8}$ when ± is plus. Add -5 to 5.

$\tt \: m=\frac{0}{8} \\ \\ \tt \: m = 0$

Now solve the equation m= $\tt\frac{-5±5}{8}$ when ± is minus. Subtract 5 from -5.

$\tt \: m=\frac{-10}{8} \\$

Reduce the fraction -10/8 to its lowest terms by extracting and cancelling out 2.

Factor the original expression using $\tt\:ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right)$ . Substitute 0 for $\tt\:x_{1} \:and \:-\frac{5}{4} \:for\: x_{2}$ .

$\tt \: 4m^{2}+5m=4m\left(m-\left(-\frac{5}{4}\right)\right) \\$

Simplify all of the expressions of the form $\tt\:p-\left(-q\right)$ to p+q.

$\tt \: 4m^{2}+5m=4m\left(m+\frac{5}{4}\right) \\$

Add 5/4 to m by finding a common denominator and adding the numerators. Then reduce the fraction to its lowest terms if possible.

$\tt \: 4m^{2}+5m=4m\times \left(\frac{4m+5}{4}\right) \\$

Cancel out 4, the greatest common factor in 4 and 4.

$\tt \: 4m^{2}+5m= \boxed{\boxed{\bf \: m\left(4m+5\right) }}$

Don't worry. If this process seems long & wears you out or if you haven't learned the biquadratic formula yet, you can just use the simple method of factoring out the common term (m). Here's how you do that $\downarrow$

<h3>Method 2 :-</h3>

$\tt \: 4m ^ { 2 } +5m$

Factor out m.

$= \boxed{ \boxed{ \bf \: m\left(4m+5\right) }}$

See, the second method is easier. But, if your question comes for a lot of marks then you might prefer using the first method.

8 0

3 years ago

Pls help fast I'm timed

Temka [501]

Answer: no mistake

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

5 rubber stamps cost $9.70 which equation would help determine the cost of 11 rubber stamps

Inessa05 [86]

Answer:

$1.94 times 11 =21.34

Step-by-step explanation:

So 5 rubber stamps cost $9.70. Your going to divide $9.70 by 5 so you get the cost of each stamp which is $1.94 each stamp. Your going to take $1.94 and multiply it by 11. You will get 21.34. :D Hope i helped you c: By the way this is the simplified version of the equation so i dont know if you want a longer version of the answer but ya! :D

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3 years ago

Read 2 more answers

How many half inch tiles would you need to cover the top of a 7 1/2 by 5 1/2 box

enot [183]

165
7.5 and 5.5 goes to 15x11, and that's your answer. 165.

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3 years ago

Please help me!!!!! Show your work 45-45-90 method <3

aivan3 [116]

Answer:

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